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Finding the Fourth Proportional to 277,708.85, 383,238.11 and 150,384.41

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Solution

The fourth proportional to 277,708.85, 383,238.11 and 150,384.41 is: 207,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,708.85 : 383,238.11 = 150,384.41 : x
  2. Step 2: Convert to fraction form
    277,708.85/383,238.11 = 150,384.41/x
  3. Step 3: Cross multiply
    277,708.85x = 383,238.11 × 150,384.41
  4. Step 4: Simplify right side
    277,708.85x = 57,633,035,521.64
  5. Step 5: Solve for x
    x = 57,633,035,521.64/277,708.85
  6. Step 6: Final answer
    x = 207,530.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.